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1) What is the number of people who do not know any of the above three languages?
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2)Read the passage and answer the questiion
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3)Read the passage and answer the questiion
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4)Read the passage and answer the questiion
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5)Read the passage and answer the questiion
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6) What is the degree of the equation 1/x-3=1/x+2-1/2?
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7)If A={x,y}, B={2,3}, C={3,4}, then what is the number of element in Ax(BUC)?
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8)What is the value of logy x5 logx y2 logz z3 ?
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9) Let N be the set of natural numbers and f: N àN be the function given by f(x)= x+1 for x(- N. Which one of the following is correct?
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10)If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation is
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11)If a and B are the roots of the equation x2+bx+c=0, then what is the value of a-1 +B-2 ?
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12)The area of the rectangle whose length is five more than twice its width is 75 square unit. The length is
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13) If 4x – 6.2+8=0, then the values of x are
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14)A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?
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15)What is the sum of the coefficient in the expansion of (1+x)n ?
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16) If p(77,31)=x and c(77,31)=y, then which one of the following is correct?
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17)The binary representation of the decimal number 45 is
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18) If the roots of quadratic equation ax2+bx+c=0 are a and B, then the quadratic equation having roots a2 and B2 is
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19)If the roots of the equation 3ax2+2bx+c=0 are in the ratio 2:3, then which one of the following is correct?
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20)Two straight line paths are represented by the equation 2x-y=2 and -4x+2y=6 Then the paths will
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21)For what value of K, the equation 3x-y=8 and 9x-Ky=24 will have infinitely many solutions?
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22)If the number n-3, 4n-2, 5n+1 are in AP, what is the value of n?
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23)For what value of K, the equation 3x-y=8 and 9x-Ky=24 will have infinitely many solutions?
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24)If the number n-3, 4n-2, 5n+1 are in AP, what is the value of n?
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25) What is the degree of the differential equation (d4y/dx4)3/5-5d3y/dx3+6d2y/dx2-8dy/dx+5=0?
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26)The general solution of the differential equation x dy/dx+y=0 is
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27)What is the area of the triangle bounded by the sides x=0, y=0 and x+y=2?
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28)The general solution of differential equation in (dy/dx)+x=0 is
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29)The average mark obtained by the student in a class are 43. If the average mark obtained by the 25 boys are 40 and the average marks obtained by the girls students are 48, then What is the number of girls students in the class?
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30)Mark obtained by 7 students in a subject are 30, 55, 75, 90, 50, 60, 39. The number of students securing marks less than the mean mark is
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31)Variance is always independent of the change of
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32) If two lines of regression are perpendicular, then the correlation coefficient r is
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33)The standard deviation of the observations 5, 5, 5, 5, 5, is
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34)The marks obtained by 13 students in a test are 10, 3, 10, 12, 9, 7, 10, 8, 6, 7. The median of this data is
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35) Consider the following statements:
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36)The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the equation 2A+G2=27. The two numbers are
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37)Consider the following frequency distribution:
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38)In how many ways can the letter of the word ‘GLOOMY’ be arranged so that the two O’s should not be together?
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39)Consider a random experiment of throwing together a die and two coins. The associated sample space has
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40)In throwing a six faced die, let A be the event that an even number occur, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct?
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41)What is the probability of getting a sum of 7 with two dice?
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42)Four coins are tossed simultaneously. What is the probability of getting exactly 2 heads?
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43)A bag contains 5 black and 3 white balls. Two balls are drawn at random one after the other without replacement. What is the probability that both are white?
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44)A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is
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45)If X follows a binomial distribution with parameters n=100 and p=1/3, then P(X=r) is maximum when
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46)Two numbers are successively drawn from the set U={1,2,3,4,5,6,7,8], the second being drawn without replacing the first. The number of clementary events in the sample is
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47)The binomial distribution has
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48) If y=sin(ax+b), then what is d2y/dx2 at x=-b/a, where a,b are constants a not=0?
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49)Which is the range of the function f(x)=|x|/x,xnot=0?
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50)If y=x2,what is dy/dx at x=1 equal to?
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51)The function f(x)=x2-4x, x(- (0,4) attains minimum value at
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52) The curve y=xex has minimum value equal to
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53)Consider the following statements:
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54)What is the differential coefficient of logxx?
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55)What is the area of the region enclosed by y=2|x| and y=4?
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56) What is the area of the parabola y2=x bounded by its latus rectum?
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57)The derivative of sec2x with respect to tan2x is
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58)The differential equation of the curve y=sinx is
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59)The degree and order respectively 0f the differential equation dy/dx=1/x+y+z are
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60)Which one of the following points lies inside a circle of radius 6 and centre at (3,5)?
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61)What one of the following points lies inside a circle of radius 6 and centre at (3,4) and the sum of whose X and Y intercept is 14?
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62)The point whose abscissa is equal to its ordinate and which is equidistant from A(-1,0) and B(0,5) is
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63)The difference of focal distances of any point on a hyperbola is equal to
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64)What is the area of the triangle whose vertices are (3,0),(0,4) and (3,4)?
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65)The sum of the direction cosines of Z-axis is
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66) What is the distance between the planes x-2y+z-1=0 and -3x+6y-3z+2=0?
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67)What should be the value of k for which the equation 3x2+3y2+(k+1)z2+x-y+z=0 represents the sphere?
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68) If 2x2-3y2=7, what is dy/dx equal to (y is not =0)?
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69)The derivative of |x| at x=0
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70)Show that the maximum rectangle inscribed in a circle is a square. 8 2 2 0
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71)Find the equation of the tangent plane that can be drawn to the sphere x2+ y2+ z2— 2x + 6y + 2z + 8 = 0, through the straight line 3x — 4y — 8 = 0 = y — 3z + 2.
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72)Find the angle between the two straight lines.
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